{"id":3973,"date":"2020-09-28T09:09:48","date_gmt":"2020-09-28T08:09:48","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=3973"},"modified":"2024-04-18T10:31:47","modified_gmt":"2024-04-18T09:31:47","slug":"how-to-calculate-and-solve-for-elevation-of-a-point-land-development","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2020\/09\/28\/how-to-calculate-and-solve-for-elevation-of-a-point-land-development\/","title":{"rendered":"How to Calculate and Solve for Elevation of a Point | Land Development"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents elevation of a point. To calculate elevation of a point, five essential parameters are needed and these parameters are Elevation at the Origin (a), Slope in x direction (Sx<\/sub>), Slope in y direction (Sy<\/sub>), Distance from origin (X)\u00a0and\u00a0Distance from origin (Y).<\/strong><\/p>\n

The formula for calculating elevation of a point:<\/p>\n

E = a + Sx<\/sub>X + Sy<\/sub>Y<\/p>\n

Where:<\/p>\n

E = Elevation of a Point
\na = Elevation at the Origin
\nSx<\/sub>\u00a0= Slope in x direction
\nSy<\/sub>\u00a0= Slope in y direction
\nX = Distance from Origin
\nY = Distance from Origin<\/p>\n

Let’s solve an example;
\nFind the elevation of a point when the elevation at the origin is 2, the slope in x diection is 5, the slope in y direction is 9, the distance from origin is 7 and the distance from origin is 3.<\/p>\n

This implies that;<\/p>\n

a = Elevation at the Origin = 2
\nSx<\/sub> = Slope in x direction = 5
\nSy<\/sub> = Slope in y direction = 9
\nX = Distance from Origin = 7
\nY = Distance from Origin = 3<\/p>\n

E = a + Sx<\/sub>X + Sy<\/sub>Y
\nThat is, E = 2 + (5)7 + (9)3
\nE = 2 + 35 + 27
\nE = 64<\/p>\n

Therefore, the\u00a0elevation of a point\u00a0<\/strong>is\u00a064.<\/strong><\/p>\n

Calculating for the Elevation at the Origin when the Elevation of a Point, the Slope in x Direction, the Slope in y Direction, the Distance from Origin and the Distance from Origin are Given<\/strong><\/h3>\n

a = E – Sx<\/sub>X – Sy<\/sub>Y<\/p>\n

Where;<\/p>\n

a = Elevation at the Origin
\nE = Elevation of a Point
\nSx<\/sub>\u00a0= Slope in x direction
\nSy<\/sub>\u00a0= Slope in y direction
\nX = Distance from Origin
\nY = Distance from Origin<\/p>\n

Let’s solve an example;
\nFind the elevation at the origin when the elevation of a point is 40, the slope in x direction is 2, the slope in y direction is 4, distance from origin is 10 and the distance from origin is 3.<\/p>\n

This implies that;<\/p>\n

E = Elevation of a Point = 40
\nSx<\/sub> = Slope in x direction = 2
\nSy<\/sub> = Slope in y direction = 4
\nX = Distance from Origin = 10
\nY = Distance from Origin = 3<\/p>\n

a = E – Sx<\/sub>X – Sy<\/sub>Y
\nThen, a = 40 – (2)(10) – (4)(3)
\na = 40 – 20 – 12
\na = 8<\/p>\n

Therefore, the\u00a0elevation at the origin\u00a0<\/strong>is\u00a08.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Volume of the fill on the Land | Land Development<\/a><\/p>\n

Calculating for the Slope in x Direction when the Elevation of a Point, Elevation at the Origin, the Slope in y Direction, the Distance from Origin and the Distance from Origin are Given<\/strong><\/h3>\n

Sx<\/sub> = E – a – Sy<\/sub>Y<\/sup> \/ X<\/sub><\/p>\n

Where;<\/p>\n

Sx<\/sub>\u00a0= Slope in x direction
\nE = Elevation of a Point
\na = Elevation at the Origin
\nSy<\/sub>\u00a0= Slope in y direction
\nX = Distance from Origin
\nY = Distance from Origin<\/p>\n

Let’s solve an example;
\nFind the slope in x direction when the elevation of a point is 62, the elevation at the origin is 14, the slope in y direction is 3, the distance from origin is 12 and the distance from origin is 2.<\/p>\n

This implies that;<\/p>\n

E = Elevation of a Point = 62
\na = Elevation at the Origin = 14
\nSy<\/sub> = Slope in y direction = 3
\nX = Distance from Origin = 12
\nY = Distance from Origin = 2<\/p>\n

Sx<\/sub> = E – a – Sy<\/sub>Y<\/sup> \/ X<\/sub>
\nSx<\/sub> = 62 – 14 – (3)(2)<\/sup> \/ 12<\/sub>
\nThat is, Sx<\/sub> = 62 – 14 – 6<\/sup> \/ 12<\/sub>
\nSx<\/sub> = 42<\/sup> \/ 12<\/sub>
\nSx<\/sub> = 3.5<\/p>\n

Therefore, the\u00a0slope in x direction\u00a0<\/strong>is\u00a03.5.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Stream Density | Soil and Water Conservation<\/a><\/p>\n

Calculating for the Slope in y Direction when the Elevation of a Point, the Slope in x Direction, the Elevation at the Origin, the Distance from Origin and the Distance from Origin are Given<\/strong><\/h3>\n

Sy<\/sub> = E – a – Sx<\/sub>X<\/sup> \/ Y<\/sub><\/p>\n

Where;<\/p>\n

Sy<\/sub>\u00a0= Slope in y direction
\nE = Elevation of a Point
\na = Elevation at the Origin
\nSx<\/sub>\u00a0= Slope in x direction
\nX = Distance from Origin
\nY = Distance from Origin<\/p>\n

Let’s solve an example;
\nFind the slope in y direction when the elevation of a point is 58, the elevation at the origin is 15, slope in x direction is 5, distance from origin is 3 and the distance from origin is 20.<\/p>\n

This implies that;<\/p>\n

E = Elevation of a Point = 58
\na = Elevation at the Origin = 15
\nSx<\/sub> = Slope in x direction = 5
\nX = Distance from Origin = 3
\nY = Distance from Origin = 20<\/p>\n

Sy<\/sub> = E – a – Sx<\/sub>X<\/sup> \/ Y<\/sub>
\nSy<\/sub> = 58 – 15 – (5)(3)<\/sup> \/ 20<\/sub>
\nThis means Sy<\/sub> = 58 – 15 – 15<\/sup> \/ 20<\/sub>
\nSy<\/sub> = 28<\/sup> \/ 20<\/sub>
\nSy<\/sub> = 1.4<\/p>\n

Therefore, the\u00a0slope in y direction\u00a0<\/strong>is\u00a01.4.<\/strong><\/p>\n

Calculating for the Distance from Origin when the Elevation of a Point, the Slope in x Direction, the Slope in y Direction, the Elevation at the Origin and the Distance from Origin are Given<\/strong><\/h3>\n

X = E – a – Sy<\/sub>Y<\/sup> \/ Sx<\/sub><\/sub><\/p>\n

Where;<\/p>\n

X = Distance from Origin
\nE = Elevation of a Point
\na = Elevation at the Origin
\nSx<\/sub>\u00a0= Slope in x direction
\nSy<\/sub>\u00a0= Slope in y direction
\nY = Distance from Origin<\/p>\n

Let’s solve an example;
\nFind the distance from origin when the elevation of a point is 66, the elevation at the origin is 8, the slope in x direction is 2, the slope in y direction is 7 and distance from origin is 3.<\/p>\n

This implies that;<\/p>\n

E = Elevation of a Point = 66
\na = Elevation at the Origin = 8
\nSx<\/sub> = Slope in x direction = 12
\nSy<\/sub> = Slope in y direction = 7
\nY = Distance from Origin = 3<\/p>\n

X = E – a – Sy<\/sub>Y<\/sup> \/ Sx<\/sub><\/sub>
\nX = 66 – 8 – (7)(3)<\/sup> \/ 12<\/sub>
\nThen, X = 66 – 8 – 21<\/sup> \/ 12<\/sub>
\nX = 37<\/sup> \/ 12<\/sub>
\nX = 3.08<\/p>\n

Therefore, the\u00a0distance from origin\u00a0<\/strong>is\u00a03.08.<\/strong><\/p>\n

Calculating for the Distance from Origin when the Elevation of a Point, the Slope in x Direction, the Slope in y Direction, the Elevation at the Origin and the Distance from Origin are Given<\/strong><\/h3>\n

Y = E – a – Sx<\/sub>X<\/sup> \/ Sy<\/sub><\/sub><\/p>\n

Where;<\/p>\n

Y = Distance from Origin
\nE = Elevation of a Point
\na = Elevation at the Origin
\nSx<\/sub>\u00a0= Slope in x direction
\nSy<\/sub>\u00a0= Slope in y direction
\nX = Distance from Origin<\/p>\n

Let’s solve an example;
\nFind the distance from origin when the elevation of a point is 72, the elevation at the origin is 13, the slope in x direction is 9, the slope in y direction is 16 and the distance from origin is 2.<\/p>\n

This implies that;<\/p>\n

E = Elevation of a Point = 72
\na = Elevation at the Origin = 13
\nSx<\/sub> = Slope in x direction = 9
\nSy<\/sub> = Slope in y direction = 16
\nX = Distance from Origin = 2<\/p>\n

Y = E – a – Sx<\/sub>X<\/sup> \/ Sy<\/sub><\/sub>
\nY = 72 – 13 – (9)(2)<\/sup> \/ 16<\/sub>
\nThat is, Y = 72 – 13 – 18<\/sup> \/ 16<\/sub>
\nY = 41<\/sup> \/ 16<\/sub>
\nY = 2.56<\/p>\n

Therefore, the\u00a0distance from origin\u00a0<\/strong>is\u00a02.56.<\/strong><\/p>\n

How to Calculate Elevation of a Point in Land Development Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the elevation of a point.<\/p>\n

To get the answer and workings of the elevation of a point using the Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe\u00a0<\/strong>for\u00a0NGN 2,000\u00a0<\/strong>per\u00a0annum<\/strong>\u00a0to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a>
\nApple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a>
\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Agricultural<\/strong>\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Land Development <\/strong>under\u00a0Agricultural<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Elevation of a Point\u00a0<\/strong>under\u00a0Land Development<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the elevation of a point according to the respective parameters which is the\u00a0Elevation at the Origin (a), Slope in x direction (Sx<\/sub>), Slope in y direction (Sy<\/sub>), Distance from origin (X)\u00a0<\/strong>and\u00a0Distance from origin (Y).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Elevation at the Origin (a)<\/strong> is 2<\/strong>, Slope in x direction (Sx<\/sub>)<\/strong> is 5<\/strong>, Slope in y direction (Sy<\/sub>)<\/strong> is 9<\/strong>, Distance from origin (X) <\/strong>is 7 <\/strong>and\u00a0Distance from origin (Y)<\/strong> is 3<\/strong>.<\/p>\n

\"How<\/p>\n

Finally, Click on Calculate<\/p>\n

\"How
\n\"How<\/p>\n

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the elevation of a point and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents elevation of a point. To calculate elevation of a point, five essential parameters are…","protected":false},"author":5,"featured_media":13987,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Elevation of a Point","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn the step by step workings and the formula on How to correctly Calculate and Solve for Elevation of a Point in Land 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